Question 348674
Hi,
re your reply: " but don't understand the part about x has increased by 4 resulting in y=2?
The Slope tells us the relationship of the points on the line.
In this case slope = 1/2  The graph of that line with point (1,0)looks like this. Note: y increases by 1, x increases by 2 (that's what the slope tells us)
(1,0), (3,1) and (5,2) are all points on the line. For Pt(5,y) y = 2
{{{drawing(300,300,-2,10,-2,10,grid(1),
circle(1, 0,0.2),
circle(3, 1,0.2),
circle(5, 2,0.2),
graph(300,300,-2,10,-2,10,x/2-1/2))}}}


Hi, 
Note: Fist find the slope of the line it is parallel to using the two points (2,3) (-2,1) and the point-slope formula: 
{{{m = (y[2] - y[1])/(x[2] - x[1]) }}}
.
{{{m =(1 - 3)/(-2 - 2) }}}

{{{m = (-2)/-4 }}}
m = (1/2)
.
Slope tells us: as y increases by 1, x increases by 2
.
Parallel lines have the same slope
Points (5,y) and (1,0) on the line parallel
.
(points show x has increased by 4)
y = 2